Explain the steps and benefits of using a Six Sigma Methodology in a Decision Making Process. Demonstrate using an example of the development of a project.

The solution in the discussion is focussed on explaining the steps and benefits of a Six Sigma Process in a decision making. The solution is provided in the attached document.

Assume that the life in hours of a radio tube is normally distributed with mean 100 hours. If a purchaser requires at least 90 percent of them to have lives exceeding 80 hours, please show that the largest value that sigma can have and still have the purchaser satisfied is 15.6.

Let f : X -> Y be any function. Let sigma (Y ) be a sigma-algebra on Y .
Show that
{f −1 (B ) : B E sigma (Y )}
is a sigma-algebra on X. f −1 (B ) is the inverse image of B , that is
{x : f (x) E B }.
Where E represents the 'belongs to' symbol.

Here's my problem:
Let (i1, i2, . . . , ik) be a k-cycle (k less or equal to n) element of Sn and let sigma be an element of Sn.
(i) Find a precise expression for sigma * (i1, i2, . . . , ik)* sigma-inverse.
Hint: experiment a little, perhaps, then take a guess
and prove it.
(ii) Describe precisely the set {sigma * (1,

Can someone explain to me in some form of detail exactly, what is Lean SixSigma?
What is its concept and premise? Basically, anything to help with my understanding. We are going to talk about this subject and I want to be able to share in the conversation.

Examples of SixSigma Tools for Statistical Significance.
Cite an example of your experience with applying SixSigma tools for Statistical significance in the workplace. If you do not have an actual example, suggest a situation or context in which the tools would provide valuable quality improvement help. Use the classic que

Please see the attached file for full problem description with proper symbols.
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Let A be a sigma-algebra on Omega, and let B be an element of A. We denote A|B = A intersection B A E A.
1. Prove that A|B is a sigma-algebra on B.
2. Is is still true if B is not in A? Please prove the answer.